PMID: 12786453Jun 6, 2003Paper

Failure due to fatigue in fiber bundles and solids

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Srutarshi Pradhan, Bikas K Chakrabarti

Abstract

We consider first a homogeneous fiber bundle model where all the fibers have got the same stress threshold (sigma(c)) beyond which all fail simultaneously in absence of noise. At finite noise, the bundle acquires a fatigue behavior due to the noise-induced failure probability at any stress sigma. We solve this dynamics of failure analytically and show that the average failure time tau of the bundle decreases exponentially as sigma-->sigma(c) from below and tau=0 for sigma>or=sigma(c). We also determine the avalanche size distribution during such failure and find a power law decay. We compare this fatigue behavior with that obtained phenomenologically for the nucleation of the Griffith cracks. Next we study numerically the fatigue behavior of random fiber bundles having simple distributions of individual fiber strengths, at stress sigma less than the bundle's strength sigma(c); (beyond which it fails instantly). The average failure time tau is again seen to decrease exponentially as sigma-->sigma(c); from below and the avalanche size distribution shows similar power law decay. These results are also in broad agreement with experimental observations on fatigue in solids. We believe, these observations regarding the failure time a...Continue Reading

References

May 15, 1991·Physical Review. a·L Golubovic, S Feng
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Mar 13, 1995·Physical Review Letters·I ChangA Aharony
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Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R C HidalgoH J Herrmann
Jan 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Srutarshi Pradhan, Bikas K Chakrabarti
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S PradhanB K Chakrabarti

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Citations

May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Srutarshi PradhanAlex Hansen
Aug 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Srutarshi PradhanBikas K Chakrabarti
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E A Jagla
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F RaischelH J Herrmann
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zoltán HalászFerenc Kun
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Theocharis Baxevanis, Theodoros Katsaounis
Nov 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Soumyajyoti Biswas, Bikas K Chakrabarti

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